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Motion of a suspension in the laminar boundary layer on a flat plate

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Abstract

The boundary layer motion of a weak suspension is investigated with allowance for the effect on the particles not only of the Stokes force but also of the additional transverse force resulting from the transverse nonuniformity of the flow over the individual particle. As distinct from studies [1–3], in which the limiting values of the transverse force (Saffman force) were used [4], the velocity and density of the dispersed phase have been determined with allowance for the dependence of the Saffman force on the ratio of the Reynolds numbers calculated from the velocity of the flow over the individual particle and the transverse velocity gradient of the undisturbed flow, respectively [5, 6].

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References

  1. B. Otterman and S.-L. Lee, “Participate velocity and concentration profiles for laminar flow of a suspension over a flat plate,”Proc. of the 1970 Heat Transfer and Fluid Mechanics Conference, Institute of Stanford, California (1970), p. 311.

    Google Scholar 

  2. A. N. Osiptsov, “Motion of a dusty gas on the entrance length of a plane channel and a circular pipe,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 80 (1988).

    Google Scholar 

  3. V. A. Naumov, “Calculation of the laminar boundary layer on a plate with allowance for the lift forces acting on a dispersed solid,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 171 (1988).

    Google Scholar 

  4. P. G. Shaffman, “The lift on a small sphere in a slow-shear flow,”J. Fluid Mech.,22, 385 (1965); Corrigendum,J. Fluid Mech.,31, 624 (1968).

    Google Scholar 

  5. E. S. Asmolov, “Transverse force acting on a spherical particle in a laminar boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 66 (1989).

    Google Scholar 

  6. E. S. Asmolov, “Dynamics of a spherical particle in a laminar boundary layer,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 91 (1990).

    Google Scholar 

  7. A. N. Osiptsov, “Structure of a dispersed-mixture laminar boundary layer on a flat plate,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 48 (1980).

    Google Scholar 

  8. F. E. Marble, “Dynamics of dusty gases,”Ann. Rev. Fluid Mech.,2, 397 (1970).

    Google Scholar 

  9. H. Schlichting,Boundary Layer Theory, McGraw-Hill, New York (1968).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    E. S. Asmolov

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  1. E. S. Asmolov
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 66–73, January–February, 1992.

In conclusion the authors wishes to thank M. N. Kogan, N. K. Makashev, and A. Yu. Boris for useful discussions of the results.

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Asmolov, E.S. Motion of a suspension in the laminar boundary layer on a flat plate. Fluid Dyn 27, 49–54 (1992). https://doi.org/10.1007/BF01054172

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  • DOI: https://doi.org/10.1007/BF01054172

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